Twice the complement of an angle is 25 less than 3 times the angle. Find the measure of both angles.

Step-by-step explanation:

Let the angles size = x

The complement of the angle is 90 - x

Two times the compliment is 2*(90 - x)

Three times the angle is 3x

25 less than 3 times the angle = 3x - 25

Now you have to equate the two bolded pieces of information.

3x - 25 = 2(90 - x)                 Remove the brackets

3x - 25 = 180 - 2x                 Add 25 to both sides

     25      25

3x = 205 - 2x                         Add 2x to both sides.

2x              2x

5x = 205                                Divide by 5

5x/5 = 205/5

x = 41

The compliment of x = 90 - 41 = 49

The angle itself = 41